Arjun K. Gupta Livres

The design of experiments holds a central place in statistics. The aim of this book is to present in a readily accessible form certain theoretical results of this vast field. This is intended as a textbook for a one-semester or two-quarter course for undergraduate seniors or first-year graduate students, or as a supplementary resource. Basic knowledge of algebra, calculus and statistical theory is required to master the techniques presented in this book. To help the reader, basic statistical tools that are needed in the book are given in a separate chapter. Mathematical results from Modern Algebra which are needed for the construction of designs are also given. Wherever possible the proofs of the theoretical results are provided.

Focusing on the change point problem, this book provides a comprehensive analysis of change point detection within various statistical models. It explores applications across multiple fields, including economics, finance, medicine, signal processing, and geology, highlighting the importance and relevance of change point analysis in diverse contexts.